Hmm this question is going to have (too) many solutions:

Take any solution with 781-64 arbitrarily assigned zeros. Chances are
big
that this solution has at most 38 ones.

What if we replace 38 by a smaller number. Say 20?

Michel


On Nov 12, 8:43 am, Michel <[EMAIL PROTECTED]> wrote:
> Hi,
>
> I have a system of 64 inhomogeneous linear equations with 781 unknowns
> over the field of two elements.
> I am looking for a solution with at most 38 non-zero unknowns.
>
> Is there an efficient way to do this? Any references?
>
> As you can guess the question is about reversing a hash, more
> specifically a so-called Zobrist hash
> function which is widely used in chess engines.
>
> Regards,
> Michel
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